Abstract: Poisson-Gamma Counting Process as a Survival Model under Size-Biased Sampling
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064

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Research Paper | Statistics | India | Volume 5 Issue 8, August 2016

Poisson-Gamma Counting Process as a Survival Model under Size-Biased Sampling

Pawan Kumar Srivastava, R. S. Srivastava

In this paper a Size-Biased PoissonGamma distribution (SBPGD) has been proposed, which is obtained by compounding a Size-Biased Poisson distribution with a Size-Biased two parameter Gamma distribution. In this paper the pmf of the proposed distribution (SBPGD) is derived. The expressions for raw moments, central moments, coefficients of skewness and kurtosis have been derived. Survival and Hazard functions of proposed distribution are also obtained. The estimator of the parameters have been obtained by method of Moments as well as method of Maximum Likelihood.

Keywords: Size-Biased Poisson Gamma distribution, maximum likelihood estimation, method of Moments, Survival function, Hazard function etc

Edition: Volume 5 Issue 8, August 2016

Pages: 1599 - 1604

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How to Cite this Article?

Pawan Kumar Srivastava, R. S. Srivastava, "Poisson-Gamma Counting Process as a Survival Model under Size-Biased Sampling", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART20161301, Volume 5 Issue 8, August 2016, 1599 - 1604

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